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Finding the Fourth Proportional to 1,352.89, 2,029.06 and 378.87

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Solution

The fourth proportional to 1,352.89, 2,029.06 and 378.87 is: 568.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.89 : 2,029.06 = 378.87 : x
  2. Step 2: Convert to fraction form
    1,352.89/2,029.06 = 378.87/x
  3. Step 3: Cross multiply
    1,352.89x = 2,029.06 × 378.87
  4. Step 4: Simplify right side
    1,352.89x = 768,749.96
  5. Step 5: Solve for x
    x = 768,749.96/1,352.89
  6. Step 6: Final answer
    x = 568.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.